# Thermodynamics at the microscale: from effective heating to the Brownian Carnot engine

@article{Dinis2016ThermodynamicsAT, title={Thermodynamics at the microscale: from effective heating to the Brownian Carnot engine}, author={Luis Dinis and Ignacio A. Mart'inez and {\'E}dgar Rold{\'a}n and Juan M R Parrondo and Ra{\'u}l A. Rica}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2016}, volume={2016} }

We review a series of experimental studies of the thermodynamics of nonequilibrium processes at the microscale. In particular, in these experiments we studied the fluctuations of the thermodynamic properties of a single optically-trapped microparticle immersed in water and in the presence of external random forces. In equilibrium, the fluctuations of the position of the particle can be described by an effective temperature that can be tuned up to thousands of Kelvin. Isothermal and non…

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## References

SHOWING 1-10 OF 44 REFERENCES

### Adiabatic processes realized with a trapped Brownian particle.

- PhysicsPhysical review letters
- 2015

This work reports on the experimental realization of a microscopic quasistatic adiabatic process employing a trapped Brownian particle, and designs a protocol where both characteristic volume and temperature of the system are changed in such a way that the entropy of theSystem is conserved along the process.

### Measuring kinetic energy changes in the mesoscale with low acquisition rates

- Physics
- 2014

We report on the measurement of the average kinetic energy changes in isothermal and non-isothermal quasistatic processes in the mesoscale, realized with a Brownian particle trapped with optical…

### Brownian Carnot engine

- PhysicsNature physics
- 2016

This work reports an experimental realization of a Carnot engine with a single optically trapped Brownian particle as the working substance and analyses the fluctuations of the finite-time efficiency, showing that the Carnot bound can be surpassed for a small number of non-equilibrium cycles.

### Nanoscale temperature measurements using non-equilibrium Brownian dynamics of a levitated nanosphere.

- PhysicsNature nanotechnology
- 2014

Einstein realized that the fluctuations of a Brownian particle can be used to ascertain the properties of its environment. A large number of experiments have since exploited the Brownian motion of…

### Entropic anomaly and maximal efficiency of microscopic heat engines.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

It is shown that-as a consequence of the recently discovered entropic anomaly-quasistatic engines, whose efficiency is maximal in a fluid at uniform temperature, have in fact vanishing efficiency in the presence of temperature gradients.

### Carnot's cycle for small systems: irreversibility and cost of operations

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

The recently developed framework of the energetics of stochastic processes is employed to reanalyze the Carnot cycle in detail, taking account of fluctuations, and finds that in this nonmacroscopic situation both processes of connection to and disconnection from heat baths and adiabatic processes that cause distortion of the energy distribution are sources of inevitable irreversibility within the cycle.

### Realization of nonequilibrium thermodynamic processes using external colored noise.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

Here it is shown, in two different nonequilibrium experiments, that the fluctuations of the work done on the particle obey the Crooks fluctuation theorem at the equilibrium effective temperature, given that the sampling frequency and the noise cutoff frequency are properly chosen.

### Stochastic thermodynamics, fluctuation theorems and molecular machines

- PhysicsReports on progress in physics. Physical Society
- 2012

Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.

### The unlikely Carnot efficiency.

- Physics, EconomicsNature communications
- 2014

In this study, using the fluctuation theorem, universal features of efficiency fluctuations are identified and it is found that the Carnot efficiency is, surprisingly, the least likely in the long time limit.

### Efficiency and large deviations in time-asymmetric stochastic heat engines

- Physics
- 2014

In a stochastic heat engine driven by a cyclic non-equilibrium protocol, fluctuations in work and heat give rise to a fluctuating efficiency. Using computer simulations and tools from large deviation…